Can y'all help: The number of pounds of apples a cannery can produce and the processing cost are P(h) = 375h and C(n) = 0.35n + 1000 where P(h) is the number of pounds of apples that can be processed in h hours and C(n) is the cost of processing n pounds of apples. Use composition of functions to find the cost of operating the cannery 32 hours

To find the cost of operating the cannery for 32 hours, we need to use the composition of functions.

First, let's start with the function P(h) = 375h, which represents the number of pounds of apples that can be processed in h hours. We want to find the number of pounds of apples that can be processed in 32 hours, so we'll substitute h = 32 into the function:

P(32) = 375(32)
P(32) = 12,000 pounds of apples

Next, we'll use the function C(n) = 0.35n + 1000, which represents the cost of processing n pounds of apples. We want to find the cost of processing 12,000 pounds of apples, so we'll substitute n = 12,000 into the function:

C(12,000) = 0.35(12,000) + 1000
C(12,000) = 4,200 + 1000
C(12,000) = 5,200 dollars

Therefore, the cost of operating the cannery for 32 hours is 5,200 dollars.